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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
Partially Observable Markov Decision Processes (POMDPs) provide powerful mathematical models for decision making under uncertainty. Among the algorithms for solving POMDP, point-based value iteration algorithms are effective. In a point-based algorithm, belief selection is a key step. In this paper we propose a belief selection method based on the uncertainty of belief point, which is named Gap-based belief selection. The experimental results indicate that this method is effective to gain an approximate discounted reward using fewer belief states than the PBVI and Distance-based point-based algorithms.